ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

The set (Z,+) forms a group

• Forms a group w.r.t addition A
• Non commutative group w.r.t multiplication B
• Forms a group w.r.t multiplication C
• Doesn't form a group D

The many subset can be formed from the set {a,b,c,d}

• 8 A
• 4 B
• 12 C
• 16 D

• 
  A
• 
  B
• 
  C
• none of these D

If D = {a} , the P(D) =

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D

The multiplicative inverse of -1 in the set {1-,1} is

• 1 A
• -1 B
• ±1 C
• 0 D
• Does not exist E

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is the subset of all sets?

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• A B
• A' C
• U D

• A onto B A
• both a & c B
• A into B C
• none of these D

Under multiplication, solution set of is

• Groupoid A
• Abelian group B
• Semi group C
• All of these D

For any set B,B∪B' is

• Is set B A
• Set B' B
• Universal set C

The set of the first elements of the orders pairs forming a relation is called its

• Relation in B A
• Range B
• Domain C
• Relation In A D

The set of complex numbers forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Subtraction D

• 
  A
• 
  B
• 
  C
• 
  D

The statement that a group can have more than one identity elements is

• True A
• False B
• Ambiguous C
• Some times true D

• 
  A
• 
  B
• 
  C
• 
  D

The set {{a,b}} is

• Infinite set A
• Singleton set B
• Two points set C
• None D

What is the number of elements of the power set of {0, 1}

• 1 A
• 2 B
• 3 C
• 4 D

A - B = ______

• 
  A
• 
  B
• 
  C
• 
  D

If A = {2m/m³= 8 , m€ Z} then A =

• {1,8,27} A
• {4} B
• (2,4,6} C
• {2,16,54} D

{x : xε Z and x < 1} is

• Singleton set A
• A set with two points B
• Empty set C
• None of these D

• A A
• A' B
• U C
• None of these D

• A A
• A' B
• U C
• U' D

• -x A
• Infinite set B
• {-4, 4} C
• None of these D

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

• 2, 2, 2 A
• 3, 3, 3 B
• 2, 2, 4 C
• 2, 3, 4 D

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

• 1-1 and onto A
• Bijective B
• 1-1 and into C
• None of these D

The number of different ways of describing a set is

• One A
• Two B
• Three C
• Four D

If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be

• Improper subset of B A
• Super set of B B
• Proper subset of B C
• None of these D

Φset is the ______ of all sets?

• Subset A
• Union B
• Universal C
• Intersection D

{0} is a

• Empty set A
• Singleton set B
• Zero set C
• Null Set D